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Finding the Fourth Proportional to 510.58, 703.77 and 421.89

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Solution

The fourth proportional to 510.58, 703.77 and 421.89 is: 581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.58 : 703.77 = 421.89 : x
  2. Step 2: Convert to fraction form
    510.58/703.77 = 421.89/x
  3. Step 3: Cross multiply
    510.58x = 703.77 × 421.89
  4. Step 4: Simplify right side
    510.58x = 296,913.53
  5. Step 5: Solve for x
    x = 296,913.53/510.58
  6. Step 6: Final answer
    x = 581.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.